What is the Greatest Common Factor of 5082 and 5098?

Greatest common factor (GCF) of 5082 and 5098 is 2.

GCF(5082,5098) = 2

We will now calculate the prime factors of 5082 and 5098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5082 and 5098.

How to find the GCF of 5082 and 5098?

We will first find the prime factorization of 5082 and 5098. After we will calculate the factors of 5082 and 5098 and find the biggest common factor number .

Step-1: Prime Factorization of 5082

Prime factors of 5082 are 2, 3, 7, 11. Prime factorization of 5082 in exponential form is:

5082 = 2¹ × 3¹ × 7¹ × 11²

Step-2: Prime Factorization of 5098

Prime factors of 5098 are 2, 2549. Prime factorization of 5098 in exponential form is:

5098 = 2¹ × 2549¹

Step-3: Factors of 5082

List of positive integer factors of 5082 that divides 5082 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 121, 154, 231, 242, 363, 462, 726, 847, 1694, 2541

Step-4: Factors of 5098

List of positive integer factors of 5098 that divides 5082 without a remainder.

1, 2, 2549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5082 and 5098. The biggest common factor number is the GCF number.
So the greatest common factor 5082 and 5098 is 2.

Also check out the Least Common Multiple of 5082 and 5098